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On Some Systems for Two Versions of Many-valued Logics
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Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 2 Artikel!
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| The current research refers to the problem of constructing several proof systems for two versions of many-valued propositional logic and investigating of their properties . The generalization of Kalmar? proof of deducibility for two-valued tautologies in the classical propositional logic gives us a possibility to suggest 1) a new method of proving the completeness of propositional proof system of three-valued logic of Lukasewicz that it is essentially simpler than other known proofs of completeness and can be easily modified into a proof of completeness for other versions of k-valued logics for k?and even for fuzzy logic as well, 2) a method of defining many traditional variants of proof systems for k-valued (k? logics, the completeness of which is easily proved directly, without the usual immersion into two-valued logic. Most of all the introduced proof systems are ?eak? ones with a ?imple strategist? of proof search and we have also investigated the quantitative properties, related to proof complexity characteristics in them. |
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i.d.R. innert 7-14 Tagen versandfertig
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